Step-by-step explanation:
3×3=9. 3 faces so 9×3=27
10×3=30. 4 faces so 30×4=120
6×3=18. 2 faces so 18×2= 36
15×3=45. 3 faces so 45×3= 135
120+135=255
36+27=63
255+63=318
answer =318
5
If tan θ = —— , calculate the value of cos θ:
4
Recall the definition of the tangent function:
sin θ
tan θ = ————
cos θ
5 sin θ
—— = ————
4 cos θ
Cross multiply:
5 · cos θ = 4 · sin θ
Square both sides:
(5 · cos θ)² = (4 · sin θ)²
5² · cos² θ = 4² · sin² θ
25 · cos² θ = 16 · sin² θ
But sin² θ = 1 – cos² θ. Substitute that for sin² θ into the equation above, then you get
25 · cos² θ = 16 · (1 – cos² θ)
25 · cos² θ = 16 – 16 · cos² θ
Isolate cos² θ:
25 · cos² θ + 16 · cos² θ = 16
(25 + 16) · cos² θ = 16
41 · cos² θ = 16
16
cos² θ = ———
41
4²
cos² θ = ————
(√41)²
Take square root of both sides:
4
cos θ = ± ———
√41
4 4
cos θ = – ——— or cos θ = ——— ✔
√41 √41
The sign of cos θ depends on which quadrant θ lies. Since you first have a positive value for tan θ, then that means θ lies either in the 1st or the 3rd quadrant.
• If θ is a 1st quadrant angle, then
cos θ > 0
4
cos θ = ——— ✔
√41
• If θ is a 3rd quadrant angle, then
cos θ < 0
4
cos θ = – ——— ✔
√41
I hope this helps. =)
3/5 -3/10=
6/10 -3/10 =
3/10
It should be trimmed by 3/10 cm
Answer:
1/2
Step-by-step explanation:
1/2 times 1/2 equals .25 (.25 is 1/4 which is half of 1/2)
1/2 divided by 1/2 is 1( 1 is 1/2 plus 1/2)
